Finding Lean Induced Cycles in Binary Hypercubes
SAT '09 Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing
Periodic orbits and equilibria in glass models for gene regulatory networks
IEEE Transactions on Information Theory - Special issue on information theory in molecular biology and neuroscience
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The term binary combinatorial Gray code refers to a list of binary words such that the Hamming distance between two neighboring words is one and the list satisfies some additional properties that are of interest to a particular application, e.g., circuit testing, data compression, and computational biology. New distance-preserving and circuit codes are presented along with a complete list of equivalence classes of the coil-in-the-box codes for codeword length with respect to symmetry transformations of hypercubes. A Gray-ordered code composed of all necklaces of the length is presented, improving the known result with length .